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professor190 [17]
3 years ago
14

Aaron want to buy sod for his backyard. What is the amount of area he will need to cover?

Mathematics
2 answers:
Lerok [7]3 years ago
8 0

Answer:

(16 + 8√3) in²

Step-by-step explanation:

The ratio of side dimensions for a 30°-60°-90° triangle are 1 : √3 : 2. If we call the horizontal dimension of the triangle its base, then its height (vertical dimension) will be √3×4 in. Of course the area of the triangle is ...

... A = (1/2)bh = (1/2)(4 in)(4√3 in) = 8√3 in²

The total sod area is the sum of the square area (16 in²) and the triangle area, so is ...

... area to cover = (16 +8√3) in²

_____

<em>Comment on problem dimensions</em>

The area involved here is not much larger than the size of your hand. It would make more sense for the dimensions to be in feet or yards or meters, rather than inches.

boyakko [2]3 years ago
3 0

Answer: 29.9 in.

Step-by-step explanation:

16+(8*√3)

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